INSTRUCTIONS:

1) Do all necessary steps

2) This is a whole paper. No data is missing.

(8) Consider the following system of linear equations ( where b1, .. ., b are constants). u+ 20 - w - 2x + 3y = b1 * - y + 2z = by 2u + 4v -2w - 4x + 7y -42 = b3 -r+ y - 2= = b4 3u + 6v - 3w - 63 + 7y +82 = 65 (a) In the process of Gaussian elimination the leading variables of this system are and the free variables are (b) What condition(s) must the constants bj, ....by satisfy so that the system is consis- tent? Answer: (c) Do the numbers bj = 1, by = -3, by = 2, by = by = 3 satisfy the condition(s) you listed in (b)? . If so, find the general solution to the system as a function of the free variables. Answer: E V=